Abstract
Computations of self-similar solutions of the compressible Euler equations as a boundary value problem in similarity coordinates (ξ =x/t, η =y/t) are presented. Two new implicit methods namely the implicit Godunov method and the implicit Equilibrium Flux Method are presented. The Jacobians for the implicit methods are analytically evaluated. In general the self-similar solutions exhibit sharper discontinuities than corresponding solutions of the initial value problem.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 327-345 |
| Number of pages | 19 |
| Journal | Journal of Computational Physics |
| Volume | 132 |
| Issue number | 2 |
| DOIs | |
| State | Published - Apr 1997 |
| Externally published | Yes |
ASJC Scopus subject areas
- Numerical Analysis
- Modeling and Simulation
- Physics and Astronomy (miscellaneous)
- General Physics and Astronomy
- Computer Science Applications
- Computational Mathematics
- Applied Mathematics